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Finding the Third Proportional to 8,158.50 and 17,613

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Solution

The third proportional to 8,158.50 and 17,613 is: 38,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.50 : 17,613 = 17,613 : x
  2. Step 2: Convert to fraction form
    8,158.50/17,613 = 17,613/x
  3. Step 3: Cross multiply
    8,158.50x = 17,613 × 17,613
  4. Step 4: Simplify right side
    8,158.50x = 310,217,769
  5. Step 5: Solve for x
    x = 310,217,769/8,158.50
  6. Step 6: Final answer
    x = 38,023.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.